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Simplifying 2t + -13 = 8 + 5t Reorder the terms: -13 + 2t = 8 + 5t Solving -13 + 2t = 8 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -13 + 2t + -5t = 8 + 5t + -5t Combine like terms: 2t + -5t = -3t -13 + -3t = 8 + 5t + -5t Combine like terms: 5t + -5t = 0 -13 + -3t = 8 + 0 -13 + -3t = 8 Add '13' to each side of the equation. -13 + 13 + -3t = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -3t = 8 + 13 -3t = 8 + 13 Combine like terms: 8 + 13 = 21 -3t = 21 Divide each side by '-3'. t = -7 Simplifying t = -7
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